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feat: start op amp notes

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max_richter 2022-03-29 11:10:42 +02:00
parent a2922fd7da
commit 73529a5d6d
2 changed files with 74 additions and 2 deletions
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73
Areas/electricity/active-components/op-amp.md
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@ -64,11 +64,31 @@ w 96 224 192 224 2
g 96 352 96 432 0 0
b 144 288 289 401 0
x 264 386 278 389 4 24 β
x 240 345 252 348 4 12 Rf
x 160 363 176 366 4 12 Rg
```
What is the closed loop gain of this circuit?
$$
\begin{flalign}
&V_- = V_+ = V_s&\\\
&V_- \text{is the output of a voltage divider}\\
\end{flalign}
$$
Because $V_-$ is equal to $V_+$ and
$V_- = V_s = V_o (\frac{R_g}{R_G+R_F})$
t
If we solve that equation for $\frac{V_O}{V_s}$ we get the following formula:
$\displaystyle Gain =\frac{V_o}{V_s} = 1+\frac{R_F}{R_G}$
# Buffer (Voltage-Follow)
This circuit is usefull, because the output always replicates the voltage at the input. For example if you connect the output of a voltage divider you can drive a load wth $V_o$ and the impedance in the Load will not change the $V_o$
```circuitjs
$ 64 0.000005 1.0312258501325766 50 5 50 5e-11
a 192 240 304 240 9 15 -15 1000000 4.999950000499995 5 100000
@ -79,4 +99,55 @@ v 96 304 96 224 0 0 40 5 0 0 0.5
w 96 224 192 224 2
g 96 304 96 352 0 0
w 192 320 304 320 0
```
```
# Inverting Amplifier
```circuitjs
$ 64 0.000005 1.0312258501325766 50 5 50 5e-11
v 48 304 48 192 0 0 40 5 0 0 0.5
r 176 192 96 192 0 1000
w 176 224 176 304 0
g 176 304 176 352 0 0
g 48 304 48 352 0 0
r 176 112 336 112 0 1000
w 336 112 336 208 0
w 176 192 176 112 0
w 336 208 416 208 0
g 416 320 416 352 0 0
p 416 208 416 320 1 0 0
x 249 86 261 89 4 12 Rf
x 129 166 141 169 4 12 Ri
a 176 208 336 208 8 15 -15 1000000 0.00004999900001999959 0 100000
w 96 192 48 192 2
```
$$
\begin{flalign}
&\frac{V_o}{V_S} = -\frac{R_F}{R_I}&\\\
\end{flalign}
$$
# Difference Amplifier
```circuitjs
$ 64 0.000005 1.0312258501325766 50 5 50 5e-11
R 144 192 96 192 0 0 40 5 0 0 0.5
R 144 224 96 224 0 0 40 4 0 0 0.5
r 144 192 224 192 0 1000
r 144 224 224 224 0 1000
a 224 208 352 208 8 15 -15 1000000 2.000009999800004 2 100000
r 224 128 352 128 0 1000
w 352 128 352 208 0
w 224 192 224 128 0
w 352 208 400 208 0
p 400 208 400 320 1 0 0
g 400 320 400 352 0 0
r 224 224 224 320 0 1000
g 224 320 224 352 0 0
x 176 171 192 174 4 12 R1
x 176 244 192 247 4 12 R1
x 199 279 215 282 4 12 R2
x 279 148 295 151 4 12 R2
```
$\displaystyle V_O = \frac{R2}{R1}(V_2-V_1)$

3
Areas/electricity/formulas.md
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@ -149,4 +149,5 @@ $Z = \sqrt{R^2 + (X_L - X_C)^2}$
$\displaystyle I_{EQ} = \frac{V_{BB}-{V_{BE}}}{\frac{R_B}{(\beta+1)}+R_E}$
# Non-Inverting Amplifier Gain
# Non-Inverting Amplifier Gain